Search a number
-
+
420123152 = 242311310103
BaseRepresentation
bin11001000010101…
…001001000010000
31002021112110121202
4121002221020100
51330022420102
6105404410332
713260662561
oct3102511020
91067473552
10420123152
111a616a819
12b88469a8
1369068aa7
143db22168
1526d3ae02
hex190a9210

420123152 has 40 divisors (see below), whose sum is σ = 856980864. Its totient is φ = 199130624.

The previous prime is 420123133. The next prime is 420123161. The reversal of 420123152 is 251321024.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 36533 + ... + 46635.

Almost surely, 2420123152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 420123152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (428490432).

420123152 is an abundant number, since it is smaller than the sum of its proper divisors (436857712).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420123152 is a wasteful number, since it uses less digits than its factorization.

420123152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10247 (or 10241 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 20.

The square root of 420123152 is about 20496.9059128445. The cubic root of 420123152 is about 748.9604275698.

Adding to 420123152 its reverse (251321024), we get a palindrome (671444176).

The spelling of 420123152 in words is "four hundred twenty million, one hundred twenty-three thousand, one hundred fifty-two".

Divisors: 1 2 4 8 16 23 46 92 113 184 226 368 452 904 1808 2599 5198 10103 10396 20206 20792 40412 41584 80824 161648 232369 464738 929476 1141639 1858952 2283278 3717904 4566556 9133112 18266224 26257697 52515394 105030788 210061576 420123152